Format:
25
ISSN:
0024-3795
Content:
In this note, we prove linear versions of the Aleksandrov-Fenchel inequality and the Brunn-Minkowski inequality for positive semidefinite matrices. With this aim, given a positive semidefinite matrix A and a linear subspace L, we consider a family of matrices having the same projection onto L, obtaining a linear version of the Aleksandrov-Fenchel inequality. In the case of the Brunn-Minkowski inequality, the milder assumption of having equal determinant of the projection of A onto L will be enough to obtain a linearized version of this inequality.
Note:
Gesehen am 08.01.2023
,
Published online 01 October 2023
In:
Linear algebra and its applications, New York, NY : American Elsevier Publ., 1968, 674(2023), Seite 21-45, 0024-3795
In:
volume:674
In:
year:2023
In:
pages:21-45
In:
extent:25
Language:
English
DOI:
10.1016/j.laa.2023.05.020
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